Code Design for Iterative Decoding of Multilevel Codes
Code Design for Iterative Decoding of Multilevel Codes
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DOI：
10.1109/tcomm.2015.2438067
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发表时间：
2015-06
影响因子：
8.3
通讯作者：
Yi Wang;A. Burr
中科院分区：
文献类型：
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作者：
Yi Wang;A. Burr
具有迭代解码功能的多级编码调制（MLCM-ID）的代码设计问题十多年来一直没有得到解决。在本文中，我们基于新颖的概念参数映射 EXIT（PM-EXIT）函数定义了 MLCM-ID 的代码设计标准。我们推导了 MLCM-ID 的 EXIT 函数，并给出了证明 PM-EXIT 函数的三个面积定理的数学工作。这为MLCM-ID中使用的曲线拟合技术提供了理论支持，并且还提供了PM-EXIT函数设计规则原则上允许容量实现代码分配的有力证明。仿真结果与理论分析完全吻合，也证实了所提出的设计规则充分利用了MLCM-ID在代码选择方面的灵活性。无论是在理论还是仿真上，我们的代码设计都得到了验证。
The code design problem for multilevel coded modulation with iterative decoding (MLCM-ID) has been left unsolved over a decade. In this paper, we define the code design criterion for MLCM-ID based on a novel concept-parametrically-mapped EXIT (PM-EXIT) function. We derive the EXIT functions for MLCM-ID, and present the mathematical work by which the three area theorems of PM-EXIT function are proved. This gives theoretical support of the curve-fitting techniques used in MLCM-ID, and also provides firm proof that the PM-EXIT function design rule allows in principle capacity-achieving code assignment. The simulation results perfectly match the theoretical analysis, and also confirm that the design rule proposed fully exploits the flexibility of MLCM-ID in the choice of codes. Both in theory and simulations, our code design is verified.